a. Use the Trapezoidal Rule with n = 10 to approximate the integral  b. Give an upper bound for the error involved in the approximation.

Q: 3s+10 W (s) = s(s-8)(s-6)²

A:

Q: 2. Determine the second derivative of f (x) = x'e* at x= -2 with a step-size of h=0.50 using Central…

A: Given function is  fx=x2e2x

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A: Solution

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Q: 10. For the differential equation x²y" +7 xy' + 25 transformation? 3D0 what is the auxiliary…

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Q: 2x; The graph X;+1 (Continue) Consider the discrete time dynamical system Xt+1 of the updating…

A: Yes, You are right! Given xt+1 = 2xtxt+1

Q: 8 Use series to approximate the value of the integral with an error of magnitude less than 10 0.14…

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Q: Evaluate the sum 5+10+20+40+80+...+320, and enter its numerical value.

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Q: Determine the Laplace Transform of the following: 1. te-3t + tcos2t + e-3icos2t 2. te-3'cos22t 3.…

A: Q2 asked and answered.

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A: We have to find the correct representation of the sum 5+7+9+11+13+⋯+101

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A: Given McJester's Burger Hut plans to expand by opening several new restaurants. The chain operates…

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Q: 6. Let A = {1, 2, 3, 4} R = {(1,2), (1,3), (2,3), (2,4), (3,1)} S= {(2,1), (2,4), (3,2), (3,3),…

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Q: 200 ? Σ21-Σ2(i + 1) , %3D What is the upper limit of the sum on the right ? i = 1 i =0

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Q: Find the centroid of the given region. [Give exact answer in fraction form.] y = 2 – x? v = x The…

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Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: We solve this using the method of F.ds

Q: Question 3: a) Find Y(s)/ X(s) for the following differential equation d'ydy dy d?x dx +2+9x, where…

A: As per our guidelines, we are supposed to solve only first subpart. Kindly repost other subpart as…

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: Please comment if you need any clarification. If find my answer useful put thumbs up. thank you.

Q: If A has A1 = 6 with eigenvector x1 = and A2 = 4 with eigenvector x2 = |, use XAX- to find A. No…

A: Eigenvalues and Eigenvectors

Q: (d) the equation of the line tangent to the curve at the point where (i) t =, and (ii) t = . = 17

A: We have x = 4sint,  and y = cost

Q: x"(t) + 4x" (t) + 9x'(t) + 10x(t) = -24te'; when t = 0, x = 0, x' = -4, x" = 10

A: Use Laplace table

Q: 13. Solve for A and B. - 7x +8 А A B - + 3x +x-2 3x-2

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Q: Q3/ by using De Moivre's theorem find the third roots of 23 – 1 = iV3

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Q: Find the matrix for T relative to the basis B, and use Theorem 8.5.2 to compute the matrix for T…

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Q: Consider the initial value problem (x + 1)y" – y" – (x + 1)y' + y = 0 y(0) = 2, y(0)' = 1, y(0)" = 1…

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Q: If the determinant of the coeffhcient matrix of a system of linear equations is very small compared…

A: this is the definition

Q: 17 Rerer the graphS Delow Interior and Exterior Temperatures ↑T(h) 20 2 10- 12 24 36 48 -10- -20…

A: The cosine and sine form should in the form of Y= ASin(Bx-C)+D or  Y=ACos(Bx-C)+D

Q: Evaluate the surface integral F. ds for the given vector field F and the oriented surface S. In…

A: If parametric form of surface S given by r(u,v) Then flux of vector field F  along S…

Q: Use series to approximate the value of the integral with an error of magnitude less than 108. 0.14…

A: Given:∫00.14 sinxxdx

Q: Check the stability of the system x1 = –xỉ + x² x2 = -x1 + 2

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Q: When writing proofs by contradiction we begin by assuming the opposite of a statement, and then show…

A: Given are some statements   To Find: Statements which are Contradictions.

Q: Anthony and Monet determine that they will need the equivalent of $4,200 monthly income (in today’s…

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Q: -2/A person who was listening to a siren reported that the frequency of the sound changed with time,…

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Q: Choose all that are geometric series. 109 E 3k k = 0 O 1000 x (1.2 + (1.2)² + (1.2)³ + (1.2)ª + ...…

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Q: Answers must be integer Find a +b + c +d + e. : 풀 StSmis: -t ;<t<27 The Fourier series of the…

A: Solution

Q: e] Let D be the region bounded between x + y = 4 and x + y = 9 that lies within the second and the…

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Q: x(z – 2y)100 = yz + x; Yr and x,.

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Q: Find B and t for the space curve r(t) = (5 sin t) i + (5 cos t) j+(12t) k. 12 T = i+ sin 13 CoS j+ k…

A: Here the given space curve is…

Q: 3/Describe using words the transformations that can be applied (in order) to the parent function to…

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Q: 4. (a – bt)?

A: Consider, a-bt2Suppose ft=a-bt2Then ft=a2+b2t2-2abt

Q: Find the general solution of the following homogeneous linear differential equations: y(1) 4y" 1…

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Q: 26.6 Let s(x) = x – + and c(x) = 1 – + - for x € R. - ... ... (a) Prove s' = c and c' = -s. (b)…

A: This is a problem of Differential Calculus.

Q: 2. – 4x, + 2x, = -6 3x, - 5x, = 1

A: To solve the given system of equation (2) by Jacobi Method first we will rewrite the given system of…

Q: Given x sin (yz) + y³ cos (xz) + z sin (xy) = v3. Find (a) implicit differentiation (b) by partial…

A: 1st we will use implicit differentiation with chain rule and for next part total derivative

Q: (c) Given the curve C: y = Vx - 2 and the line L:x+y =4. Sketch the region bounded by the curve C,…

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Q: Let A = {a,b, c, d, e, ƒ}, and let G and H be the following equivalence relations in A: G = IA U…

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Q: Let B be the basis of IR? consisting of the vectors and let C be the basis consisting of {HE) Find a…

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Q: Weite stup by step solutions and justify your answers. Solve the IVP: "+ Oy 1 Oy- 0, v(0) 1 and y…

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Q: kj d³y Consider the differential equation kz da R. Which of the following is NOT true? dy +ky-kza =…

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